Epstein curves in the hyperbolic disk equate the Schwarzian action to curve length and enclosed area while equaling the derivative of Loewner energy, yielding immediate non-negativity proofs via isoperimetric inequality.
Belokurov and Evgeniy T
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Epstein curves and holography of the Schwarzian action
Epstein curves in the hyperbolic disk equate the Schwarzian action to curve length and enclosed area while equaling the derivative of Loewner energy, yielding immediate non-negativity proofs via isoperimetric inequality.